AnswersFL-1200330-Algebra 2 AModeling Using Function Notation

Function Inverses Answers

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If and are inverse functions of each other and , what is ?

Question illustration
A
mc005-5.jpg
Option A
B
mc005-6.jpg
Option B
C
mc005-7.jpg
Option C
D
mc005-8.jpg
Option D
2
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If and , which expression could be used to verify that is the inverse of ?

Question illustration
A
one-third (one-third x)
Option A
B
mc010-6.jpg
Option B
C
mc010-7.jpg
Option C
D
mc010-8.jpg
Option D
3

The function h(x) is given below.h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}Which of the following gives h–1(x)?

A
{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
B
{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
C
{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
D
{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}
4

Which function has an inverse that is also a function?

A
{(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}
B
{(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}
C
{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
D
{(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
5

Which function has an inverse that is a function?

A
b(x) = x2 + 3
B
d(x) = –9
C
m(x) = –7x
D
p(x) = |x|
6

The function f(x) is shown below.xf(x)–61–32255380If g(x) is the inverse of f(x), what is the value of f(g(2))?

A
–6
B
–3
C
2
D
5
7

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = one-half x minus three-halves
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
8

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

Question illustration
A
(0, –2)
B
(1, –1)
C
(2, 0)
D
(3, 3)
9

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

A
The graph of h(x) passes the vertical line test.
B
The graph of the inverse of h(x) is a vertical line.
C
The graph of the inverse of h(x) passes the horizontal line test.
D
The graph of h(x) passes the horizontal line test.
10

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

A
On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).
Option A
B
On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).
Option B
C
On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).
Option C
D
On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).
Option D

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